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Finding the Fourth Proportional to 3,670.66, 5,065.43 and 2,098.65

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Solution

The fourth proportional to 3,670.66, 5,065.43 and 2,098.65 is: 2,896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.66 : 5,065.43 = 2,098.65 : x
  2. Step 2: Convert to fraction form
    3,670.66/5,065.43 = 2,098.65/x
  3. Step 3: Cross multiply
    3,670.66x = 5,065.43 × 2,098.65
  4. Step 4: Simplify right side
    3,670.66x = 10,630,564.67
  5. Step 5: Solve for x
    x = 10,630,564.67/3,670.66
  6. Step 6: Final answer
    x = 2,896.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.